Atkin-Lehner |
3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825a |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-47552490234375 = -1 · 3 · 514 · 72 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -6 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36375,-2706000] |
[a1,a2,a3,a4,a6] |
j |
-340668004990321/3043359375 |
j-invariant |
L |
0.34551409481687 |
L(r)(E,1)/r! |
Ω |
0.17275704740835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83475q1 5565g1 |
Quadratic twists by: -3 5 |